Q.6. The equation of the ellipse whose centre is at the origin and the x-axis, the major axis, which passes
through the points (-3, 1) and (2,-2) is
(A) 5x2 + 3y =32 (B) 3r? + 5y = 32 (C) 5x° - 3y2 = 32 (D) 3x* + 5y? + 32 = 0
Equation of the ellipse = 3x² + 5y² = 32
Step-by-step explanation:Given:The centre of the ellipse is at the origin and the X axis is the major axisIt passes through the points (-3, 1) and (2, -2)To Find:The equation of the ellipseSolution:The equation of an ellipse is given by,
[tex]\sf \dfrac{x^2}{a^2} +\dfrac{y^2}{b^2} =1[/tex]
Given that the ellipse passes through the point (-3, 1)
Hence,
[tex]\sf \dfrac{(-3)^2}{a^2} +\dfrac{1^2}{b^2} =1[/tex]
Cross multiplying we get,
9b² + a² = 1 ²× a²b²a²b² = 9b² + a²Multiply by 4 on both sides,
4a²b² = 36b² + 4a²------(1)Also by given the ellipse passes through the point (2, -2)
Substituting this,
[tex]\sf \dfrac{2^2}{a^2} +\dfrac{(-2)^2}{b^2} =1[/tex]
Cross multiply,
4b² + 4a² = 1 × a²b²a²b² = 4b² + 4a²-------(2)Subtracting equations 2 and 1,
3a²b² = 32b²3a² = 32a² = 32/3----(3)Substituting in 2,
32/3 × b² = 4b² + 4 × 32/332/3 b² = 4b² + 128/332/3 b² = (12b² + 128)/332b² = 12b² + 12820b² = 128b² = 128/20 = 32/5Substituting the values in the equation for ellipse,
[tex]\sf \dfrac{x^2}{32/3} +\dfrac{y^2}{32/5} =1[/tex]
[tex]\sf \dfrac{3x^2}{32} +\dfrac{5y^2}{32} =1[/tex]
Multiplying whole equation by 32 we get,
3x² + 5y² = 32
Hence equation of the ellipse is 3x² + 5y² = 32x-3y=7
2х-6у=12
Solve the following systems
Answer:
Step-by-step explanation:
this system doesnt have any solutions
if you multiply the first equation by 2 you will get
2x-6y=14
second equation is
2x-6y=12
the result will -12=14
no solutions
what is the area of the shaded?
Answer:
A = 50.24m
hope it's helpful ❤❤❤❤❤
THANK YOU.
Find the value of x when 6 - 4x = 7X-9x - 4.
The value of x is ..
Answer:
Step-by-step explanation:
90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you
PLEASE HELP ME IT IS AN EMERGENCY!!!!!!!!! I WILL MARK BRAINLLIEST FOR THE CORRECT ANSWER!!!!!!!!!!!!
When the original price and discounted prices are known, how can we find the percent markdown?
Step-by-step explanation:
The amount that you decrease the price by can be expressed as a percent of the selling price, known as the markdown rate.
HELP HURRY HURRY HURFY HURRY HURRY
Answer:
3
Step-by-step explanation:
y=7-4
y=3
I think the answer is three..... buuuuuuuut
can I get people that are actually willing to try instead of stealing points jeez.
Answer:
I think the length of ED should be 6
Give me 3 examples of a ratio
Answer:
2:4 like in a basketball game 2/4 like a fraction 2:4 like a competitive thing
Step-by-step explanation:
There are five 6-inch sticks and five 10-inch sticks. These sticks can be attached end-to-end to make longer sticks. For example, you can take two 6-inch sticks and one 10-inch stick to make a 22-inch stick (6 + 6 + 10 = 22).How many different lengths of stick can be made out of at least one of the sticks?
What is the difference of the rational expressions below? 3x/x+1 minus 5/x
Answer:
B
Step-by-step explanation:
[tex]\frac{3x}{x+1} -\frac{5}{x}\\Formula=\frac{a}{b} -\frac{c}{d} =\frac{ad-bc}{bd}\\\\\frac{(3x)(x)-(x+1)(5)}{(x+1)(x)} \\\frac{3x^{2}-(5x+5) }{x^{2} +x}\\\frac{3x^{2}-5x-5}{x^{2} +x}[/tex]
consider the expression 7 - 4y. Why would the co-efficient be -4 and not 4?
Because the answer to X is a negative number, and negative numbers are needed for negative answers
Answer: because it won’t make sense if it was 74y it has to have an equation or expression.
Step-by-step explanation: I’m not that smart and I have no friends on brainly but hope it helps and makes your day.
When I multiply a - and +, the answer will be a?
Answer:
it will me a negative (-)
Given the equation 2x + 4 = 4x - 2, select the reasoning that correctly solves for x.
1) Add 2, subtract 2x, then divide by 2.
2) Add 2, subtract 4x, then divide by -2.
3) Subtract 4, subtract 2x, then divide by-2.
04) Subtract 4, subtract 4x, then divide by 2.
Answer:
04) Subtract 4, subtract 4x, then divide by 2.
Answer:
option A.
Step-by-step explanation:
2x + 2 + 4 = 4x - 2 + 2
2x - 2x + 6 = 4x - 2x
3 = x OR x = 3
Easy ! Hurry !
Very easy
Answer:
13Step-by-step explanation:
Add 6 to both sides.
3m−6+6=33+6
3m=39
Divide both sides by 3.
3m/ 3 = 39 /3
m=13
Answer:
[tex] \huge \: x = 13[/tex]Step-by-step explanation:
to understand thisyou need to know about:equationPEMDASgiven:3m-6=33to solve:xlet's solve:[tex]step - 1 : define[/tex]
[tex]3m-6=33[/tex]
[tex]step - 2 : \\ add \: 6 \: to \: both \: sides[/tex]
[tex]3x - 6 + 6 = 33 + 6[/tex]
[tex]3x = 39[/tex]
[tex]step - 3 : \\ divide \: both \: sides \: by \: 3[/tex]
[tex] \frac{3x}{3} = \frac{39}{3} [/tex]
[tex] \huge\therefore \: x = 13[/tex]
Sydney says the slope of this line is 6/4
.
Deja says, "No, the slope of this line is 1.5"
Who is correct?
Sydney
Deja
Both
Neither
Answer:
Both
Step-by-step explanation:
Bc, 6/4 is equal to 1.5
Answer:
Both
Step-by-step explanation:
If you think about it, 6/4 is the same thing as 1.5, 6/4 is in the fraction form and 1.5 is in the decimal form. So, Deja and Sydney are both correct.
Hope this helps :D
What is y? Helppp thank you !
Answer:
y = 42
Step-by-step explanation:
Since QT is a midsegment then it is half of RS , that is
QT = [tex]\frac{1}{2}[/tex] RS, substitute values
y = [tex]\frac{1}{2}[/tex] (y + 42) ← multiply both sides by 2 to clear the fraction
2y = y + 42 ( subtract y from both sides )
y = 42
Daniel works for 3 hours one day he gets paid $6 an hour. Build a visual that represents the word problem
Answer:
He earned $18
Step-by-step explanation:
So what you would do is draw a calendar and put Monday, Tuesday, Wednesday, Thursday, Friday, Saturday put any random year , month ,day . You can choose any three days you want to do. After you do that put $6 for each of the three days and above put 1 hour after that you're going to multiply 6 x 3 which is $18.
Sidney skated for 1 1/10 hours last month and 8 7/10 hours this month. How many
hours did Sidney skate in all?
Answer:
the number of hours does sidney skate in all is 9.8 hours
Step-by-step explanation:
The computation of the number of hours does sidney skate in all is as follows:
= Last month + this month
[tex]= 1 \frac{1}{10} + 8 \frac{7}{10}\\\\= \frac{11}{10} + \frac{87}{10}\\\\= \frac{98}{10}[/tex]
= 9.8 hours
Hence, the number of hours does sidney skate in all is 9.8 hours
(PLEASE HELP ME I BEG OF YOU)
Kevin and cannot eat on $135 a month salary there any commission for each sale they make and the ratio of Kevin and Kenneth commission is 3:4 if they sell Products worth $610 each in March and Kevin Owens at 12% commission how much did each of them??
A. Kenneth makes $232.60
B. Kevin makes $208.20
C. Kevin makes $73.20
D. They both make $440.00
E. Kenneth makes $219.60
Answer:
I think the asnwer A or B !!
Step-by-step explanation:
Please hurryyyyyyyyyyyy
Answer:
(x^2+10)^2
Step-by-step explanation:
Answer:
hey! you could always use m athway or p hotomath for this (:
ill give brainiest and 30 points
Answer:
50 feet
Step-by-step explanation:
According to the Pythagorean theorem a^2+b^2=c^2 and if you put it into this equation it is 30^2 + 40^2 =50^2 which does work out
I dont feel like typeing right now (its 50 )So here's my answer.
hey does anyone know what the heck type of questions they ask on a DBA for math on module 05.11? it's my first DBA
How do you write 343% as a decimal?
Answer:
Im guessing its 3.43
Step-by-step explanation:
Hope this helps :)
How to simplify 1/2
Somebody help meeeee
Step-by-step explanation:
1/2 cannot be simplified, however you can solve this question by shading in the other half of the left square, and taking away a shade on the right one :)
Answer:
ok you can not simplify 1/2 but you can make it a higher proportion basically, one square can be one shaded purple of of the two rectangles and the other could be 4 different squares with two shaded purple
16. In the figure below, lines A and B are parallel.
Answer:
the angle measurement is 75
Step-by-step explanation:
Solve 5n +3>27
sorry I’m not the best at maths so simple stuff like this makes my brain buffer
a pair of shoes originally priced at $120 are on sale for 89.99 what percent discount was applied ?round to the nearest whole percent.
Answer:
25%
Step-by-step explanation:
Divide 89.99 or 90 (since you are rounding) by 120, and you get .7499 or 75%. You have 25% ($30) as the discount because 90 is 75% of $120.
Solve for x in the diagram below. Will mark brainliest if your answer is correct!♡
8=−2/5c
Help me
I’m single ready to mingle
Answer:
-20
Step-by-step explanation:
First, you divide both sides by -2/5, which would get you c = 8 * -5/2 (Because when you divide, you multiply by the reciprocal). 8 * -5/2 is equal to -20. The answer is -20.
Together, teammates Pedro and Ricky got 2674 base hits last season. Pedro had 284 more hits than Ricky. How many hits did each player have?